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Finding the Fourth Proportional to 186,440.94, 257,292.47 and 101,557.82

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Solution

The fourth proportional to 186,440.94, 257,292.47 and 101,557.82 is: 140,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,440.94 : 257,292.47 = 101,557.82 : x
  2. Step 2: Convert to fraction form
    186,440.94/257,292.47 = 101,557.82/x
  3. Step 3: Cross multiply
    186,440.94x = 257,292.47 × 101,557.82
  4. Step 4: Simplify right side
    186,440.94x = 26,130,062,355.62
  5. Step 5: Solve for x
    x = 26,130,062,355.62/186,440.94
  6. Step 6: Final answer
    x = 140,151.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.